#include <array> #include <string> #include <numeric> #include <fstream> #include <iostream> #include <algorithm> #include <functional> #include <cstdlib> #include <cmath> constexpr int symbol_count = '~' - ' ' + 1; typedef float table_f[ symbol_count ][ symbol_count ]; typedef int table_i[ symbol_count ][ symbol_count ]; table_i prediction; // How many times is group A followed by symbol B? int total[ symbol_count ]; table_f combo_cost; // How many nats are lost by grouping two symbols? std::string group[ symbol_count ]; void print_column_headings( std::ostream & stats ) { stats << '\t'; for ( int c = 0; c != symbol_count; ++ c ) { stats << char( ' ' + c ) << '\t'; }; stats << '\n'; } float logz( int x ) { return x? log( x ) : 0; } constexpr float bytes_per_nat = 1. / ( log(2) * 8 ); float symbol_combo_cost( int a, int b ) { return (a+b) * logz(a+b) - a * logz(a) - b * logz(b); } void update_table_combo_cost( int a, int b ) { combo_cost[ a ][ b ] = symbol_combo_cost( total[ a ], total[ b ] ) - std::inner_product( std::begin( prediction[ a ] ), std::end( prediction[ a ] ), std::begin( prediction[ b ] ), 0., std::plus< float >(), symbol_combo_cost ); } void collect_samples( std::istream & corpus ) { std::string item; while ( getline( corpus, item ) ) { if ( item.empty() ) continue; for ( int cx = 1; cx < item.size(); ++ cx ) { if ( item[ cx - 1 ] < ' ' || item[ cx - 1 ] > '~' ) { ++ cx; std::cerr << "bad line: " << item << '\n'; continue; } ++ prediction[ item[ cx - 1 ] - ' ' ][ item[ cx ] - ' ' ]; } } if ( ! corpus.eof() ) std::cerr << "Input failure\n"; } float coded_size() { float acc = 0; for ( int t = 0; t != symbol_count; ++ t ) { for ( int p = 0; p != symbol_count; ++ p ) { acc -= prediction[ t ][ p ] * logz( prediction[ t ][ p ] ); } acc += total[ t ] * logz( total[ t ] ); } return acc; } int main( int argc, char ** argv ) { if ( argc > 2 ) { std::cerr << "Usage: " << argv[0] << " <filename>\n"; return EXIT_FAILURE; } bool use_pipes = argc != 2; std::ifstream corpus_file; if ( ! use_pipes ) corpus_file.open( argv[1] ); std::istream & corpus = use_pipes? std::cin : corpus_file; if ( ! corpus ) { std::cerr << "Could not open " << argv[1] << "\n"; std::perror( nullptr ); return EXIT_FAILURE; } collect_samples( corpus ); for ( int sx = 0; sx != symbol_count; ++ sx ) { total[ sx ] = std::accumulate( std::begin( prediction[ sx ] ), std::end( prediction[ sx ] ), 0 ); } for ( int lo = 0; lo != symbol_count; ++ lo ) { for ( int hi = 0; hi != lo + 1; ++ hi ) { combo_cost[ lo ][ hi ] = std::numeric_limits< float >::infinity(); } for ( int hi = lo + 1; hi != symbol_count; ++ hi ) { update_table_combo_cost( lo, hi ); } } std::ofstream stats_file; if ( ! use_pipes ) stats_file.open( "stats.txt" ); std::ostream & stats = use_pipes? std::cout : stats_file; { print_column_headings( stats ); for ( int row = 0; row != symbol_count; ++ row ) { stats << char( ' ' + row ) << ':' << '\t'; for ( int col = 0; col != symbol_count; ++ col ) { stats << prediction[ row ][ col ] << '\t'; } stats << '\n'; } stats << '\n'; stats.precision( 0 ); stats.setf( std::ios::fixed ); print_column_headings( stats ); for ( int lo = 0; lo != symbol_count; ++ lo ) { stats << char( ' ' + lo ) << ':' << std::string( lo + 2, '\t' ); for ( int hi = lo + 1; hi != symbol_count; ++ hi ) { stats << combo_cost[ lo ][ hi ] << '\t'; } stats << '\n'; } } float size_check = coded_size(); stats << "ideal size = " << size_check * bytes_per_nat << '\n'; for ( int n = 0; n != symbol_count; ++ n ) group[ n ] += char( ' ' + n ); for ( float * max_corr; * ( max_corr = std::min_element( & combo_cost[0][0], & combo_cost[symbol_count-1][symbol_count] ) ) != std::numeric_limits< float >::infinity(); ) { int maxx = max_corr - & combo_cost[0][0], lo = maxx / symbol_count, hi = maxx % symbol_count; size_check += * max_corr; stats << * max_corr * bytes_per_nat << " x " << group[ lo ] << " += " << group[ hi ]; group[ lo ] += group[ hi ]; std::sort( group[ lo ].begin(), group[ lo ].end() ); group[ hi ].clear(); for ( int nx = 0; nx != symbol_count; ++ nx ) { prediction[ lo ][ nx ] += prediction[ hi ][ nx ]; prediction[ hi ][ nx ] = 0; } total[ lo ] += total[ hi ]; total[ hi ] = 0; std::fill( std::begin( combo_cost[ hi ] ) + hi + 1, std::end( combo_cost[ hi ] ), std::numeric_limits< float >::infinity() ); for ( int lo = 0; lo != hi; ++ lo ) combo_cost[ lo ][ hi ] = std::numeric_limits< float >::infinity(); for ( int o = 0; o != lo; ++ o ) { if ( group[ o ].empty() ) continue; update_table_combo_cost( o, lo ); } for ( int hi = lo + 1; hi != symbol_count; ++ hi ) { if ( group[ hi ].empty() ) continue; update_table_combo_cost( lo, hi ); } stats << '\n'; } stats << "single-table size = " << size_check * bytes_per_nat << " = " << coded_size() * bytes_per_nat << " vs " << total[0] << '\n'; }
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 P: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Q: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 R: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 S: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 T: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 U: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 V: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 W: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Y: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Z: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 [: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 \: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ]: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ^: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 _: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 `: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 a: 0 0 2 1 2 0 3 2 0 2 2 0 2 2 0 0 1 0 3 0 0 2 0 2 0 0 0 0 0 b: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 c: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 d: 1 0 0 1 1 0 1 1 0 1 3 0 0 1 0 2 0 0 0 0 1 0 0 0 0 0 e: 1 0 2 1 0 1 1 0 1 1 0 0 0 0 2 0 0 1 0 1 0 0 0 0 0 f: 0 1 1 0 1 1 0 1 3 0 0 1 0 2 0 0 0 0 1 0 0 0 0 0 g: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 h: 2 0 2 4 0 2 5 0 0 2 0 3 0 0 1 0 1 0 0 0 0 0 i: 0 1 3 0 1 3 0 0 1 0 2 0 0 1 0 1 0 0 0 0 0 j: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 k: 3 0 1 3 0 0 1 0 2 0 0 1 0 1 0 0 0 0 0 l: 0 3 4 0 0 1 0 4 0 0 1 0 3 0 0 0 0 0 m: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 n: 3 0 0 1 0 2 0 0 1 0 1 0 0 0 0 0 o: 0 0 1 0 4 0 0 3 0 3 0 0 0 0 0 p: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 q: 0 0 0 0 0 0 0 0 0 0 0 0 0 r: 0 2 0 0 1 0 1 0 0 0 0 0 s: 0 0 0 0 0 0 0 0 0 0 0 t: 0 0 2 0 2 0 0 0 0 0 u: 0 0 0 0 0 0 0 0 0 v: 0 0 0 0 0 0 0 0 w: 0 1 0 0 0 0 0 x: 0 0 0 0 0 0 y: 0 0 0 0 0 z: 0 0 0 0 {: 0 0 0 |: 0 0 }: 0 ~: ideal size = 3 0 x += ! 0 x ! += " 0 x !" += # 0 x !"# += $ 0 x !"#$ += % 0 x !"#$% += & 0 x !"#$%& += ' 0 x !"#$%&' += ( 0 x !"#$%&'( += ) 0 x !"#$%&'() += * 0 x !"#$%&'()* += + 0 x !"#$%&'()*+ += , 0 x !"#$%&'()*+, += - 0 x !"#$%&'()*+,- += . 0 x !"#$%&'()*+,-. += / 0 x !"#$%&'()*+,-./ += 0 0 x !"#$%&'()*+,-./0 += 1 0 x !"#$%&'()*+,-./01 += 2 0 x !"#$%&'()*+,-./012 += 3 0 x !"#$%&'()*+,-./0123 += 4 0 x !"#$%&'()*+,-./01234 += 5 0 x !"#$%&'()*+,-./012345 += 6 0 x !"#$%&'()*+,-./0123456 += 7 0 x !"#$%&'()*+,-./01234567 += 8 0 x !"#$%&'()*+,-./012345678 += 9 0 x !"#$%&'()*+,-./0123456789 += : 0 x !"#$%&'()*+,-./0123456789: += ; 0 x !"#$%&'()*+,-./0123456789:; += < 0 x !"#$%&'()*+,-./0123456789:;< += = 0 x !"#$%&'()*+,-./0123456789:;<= += > 0 x !"#$%&'()*+,-./0123456789:;<=> += ? 0 x !"#$%&'()*+,-./0123456789:;<=>? += @ 0 x !"#$%&'()*+,-./0123456789:;<=>?@ += A 0 x !"#$%&'()*+,-./0123456789:;<=>?@A += B 0 x !"#$%&'()*+,-./0123456789:;<=>?@AB += C 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABC += D 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCD += E 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDE += F 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEF += G 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFG += H 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGH += I 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHI += J 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJ += K 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJK += L 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKL += M 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLM += N 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMN += O 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNO += P 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOP += Q 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQ += R 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQR += S 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRS += T 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRST += U 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTU += V 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUV += W 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVW += X 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWX += Y 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXY += Z 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ += [ 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[ += \ 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\ += ] 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\] += ^ 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^ += _ 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_ += ` 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_` += b 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`b += c 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bc += g 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcg += j 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgj += k 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjk += m 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkm += p 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmp += q 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpq += s 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqs += u 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsu += v 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuv += x 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvx += z 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvxz += { 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvxz{ += | 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvxz{| += } 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvxz{|} += ~ 0 x d += f 0 x df += w 0 x e += r 0 x a += er 0 x h += y 0 x i += n 0 x dfw += hy 0 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvxz{|}~ += in 1 x aer += l 1 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgijkmnpqsuvxz{|}~ += t 1 x aelr += o 2 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgijkmnpqstuvxz{|}~ += dfhwy 3 x !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcdfghijkmnpqstuvwxyz{|}~ += aelor single-table size = 11 = 11 vs 26